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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 374790c
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 374790.c1 | 374790c1 | \([1, 1, 0, 5580027, 3666845133]\) | \(21650220735939431/19065601152000\) | \(-16920791202877840512000\) | \([]\) | \(29030400\) | \(2.9527\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 374790c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 374790c do not have complex multiplication.Modular form 374790.2.a.c
sage: E.q_eigenform(10)